Title Numerical PDE analysis of retinal neovascularization : mathematical model computer implementation in R / William E. Schiesser

Edition First edition Published London, United Kingdom : Academic Press, [2019]

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Description 1 online resource Contents Front Cover; Numerical PDE Analysis of Retinal Neovascularization; Copyright; Contents; Preface; 1 PDE Model Formulation; 1.1 Introduction; 1.2 Model Speci cation; 1.2.1 Capillary Tip Density; 1.2.2 Blood Capillary Density; 1.2.3 VEGF Concentration; Acknowledgment; References; 2 Model Implementation; 2.1 Introduction; 2.2 Method of Lines Routines; 2.2.1 Main Program; 2.2.2 ODE/MOL Routine; 2.3 Model Output; 2.4 Summary and Conclusions; References; 3 Variation of Parameters; 3.1 Introduction; 3.2 MOL Analysis; 3.2.1 Main Program, Source Routine; 3.2.2 Model Output; 3.3 Summary and Conclusions 6.3 Summary and ConclusionsA1 Functions dss004, dss044; A1.1 Function dss004; A1.2 Function dss044; Reference; Index; Back Cover Summary Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point-a system of three partial differential equations (PDEs)-that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (EBSCO, viewed June 18, 2019) Subject Differential equations, Partial. Neovascularization -- Mathematical models Retina -- Blood-vessels. Mathematical models. Retinal Neovascularization Models, Theoretical Computer Simulation Mathematical Computing Retinal Vessels mathematical models. simulation. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Mathematical models Differential equations, Partial Retina -- Blood-vessels Form Electronic book ISBN 9780128184530 0128184531 9780128184523 0128184523

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